26889408000 has 1920 divisors, whose sum is σ = 130121671680. Its totient is φ = 5374771200.

The previous prime is 26889407999. The next prime is 26889408001. The reversal of 26889408000 is 80498862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26889407999) and next prime (26889408001).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26889408001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1415231991 + ... + 1415232009.

It is an arithmetic number, because the mean of its divisors is an integer number (67771704).

Almost surely, 2^26889408000 is an apocalyptic number.

26889408000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26889408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65060835840).

26889408000 is an abundant number, since it is smaller than the sum of its proper divisors (103232263680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26889408000 is an equidigital number, since it uses as much as digits as its factorization.

26889408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 26889408000 in words is "twenty-six billion, eight hundred eighty-nine million, four hundred eight thousand".